Q3: Write a program in Java to display n terms of natural numbers and their sum. Example: Input number: 7 The first n natural numbers are : 7 1 2 3 4 6 7 The Sum of Natural Number upto n terms : 28

a.Provide a top-level decomposition of the problem of drawing a frieze pattern, assuming for the moment that the basic element is repeated just exactly 5 times. At this stage you are not trying to produce a solution, just break the problem down into smaller parts. We are looking for a decomposition that could apply to a frieze composed of any basic element, so for now you should just assume that the exact form of the basic element will be considered in a more detailed decomposition, so you can just say “draw basic element” for this step. Your initial decomposition should use exactly one loop. In the remainder of this question, you will design and implement a program to draw the particular frieze shown   In this frieze the length of each of the eight "spokes” of the basic element is 40 and the angle between the spokes is 45º. Each repeat is 100 units to the right of the previous one, as measured from the centre of one basic element to the centre of the next (where the centre is the…

Not an exam. Just review for me. For each function f(n) below give an asymptoic upper bound using big-Oh notation. You should give the tighest bound (ie. smallest bound) possible and simplify the expression.  Explain step by step how you your answers. Use signma notation to prove your answers if you can     I attached the answers for question 3 and 4 for your reference so you can check your work but explain how you got those answers.  I dont have the answer key for 1 so please try your best on that.

We can implement requests to the waiter as either a queue of requests or as a periodic retry of a request. With a queue, requests are handled in the order they are received. Th e problem with using the queue is that we may not always be able to service the philosopher whose request is at the head of the queue (due to the unavailability of resources). Describe a scenario with 5 philosophers where a queue is provided, but service is not granted even though there are forks available for another philosopher (whose request is deeper in the queue) to eat.If we implement requests to the waiter by periodically repeating our request until the resources become available, will this solve the problem described in the above Exercise? Explain.